Why is the Weyl double copy local in position space?
Abstract The double copy relates momentum-space scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, where in some cases an exact double copy can be formulated directly in terms of products of fields in position space. This is seemingly at odds with...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2022)046 |
| _version_ | 1797860044732104704 |
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| author | Andres Luna Nathan Moynihan Chris D. White |
| author_facet | Andres Luna Nathan Moynihan Chris D. White |
| author_sort | Andres Luna |
| collection | DOAJ |
| description | Abstract The double copy relates momentum-space scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, where in some cases an exact double copy can be formulated directly in terms of products of fields in position space. This is seemingly at odds with the momentum-space origins of the double copy, and the question of why exact double copies are possible in position space — and when this form will break — has remained largely unanswered. In this paper, we provide an answer to this question, using a recently developed twistorial formulation of the double copy. We show that for certain vacuum type-D solutions, the momentum-space, twistor-space and position-space double copies amount to the same thing, and are directly related by integral transforms. Locality in position space is ultimately a consequence of the very special form of momentum-space three-point amplitudes, and we thus confirm suspicions that local position-space double copies are possible only for highly algebraically-special spacetimes. |
| first_indexed | 2024-04-09T21:40:31Z |
| format | Article |
| id | doaj.art-b8e55eb754c4491285406d5fa8a950f0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T21:40:31Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b8e55eb754c4491285406d5fa8a950f02023-03-26T11:05:25ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221212910.1007/JHEP12(2022)046Why is the Weyl double copy local in position space?Andres Luna0Nathan Moynihan1Chris D. White2Niels Bohr International Academy, Niels Bohr Institute, University of CopenhagenHiggs Centre for Theoretical Physics, School of Physics and Astronomy, The University of EdinburghCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract The double copy relates momentum-space scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, where in some cases an exact double copy can be formulated directly in terms of products of fields in position space. This is seemingly at odds with the momentum-space origins of the double copy, and the question of why exact double copies are possible in position space — and when this form will break — has remained largely unanswered. In this paper, we provide an answer to this question, using a recently developed twistorial formulation of the double copy. We show that for certain vacuum type-D solutions, the momentum-space, twistor-space and position-space double copies amount to the same thing, and are directly related by integral transforms. Locality in position space is ultimately a consequence of the very special form of momentum-space three-point amplitudes, and we thus confirm suspicions that local position-space double copies are possible only for highly algebraically-special spacetimes.https://doi.org/10.1007/JHEP12(2022)046Black HolesClassical Theories of GravityScattering Amplitudes |
| spellingShingle | Andres Luna Nathan Moynihan Chris D. White Why is the Weyl double copy local in position space? Journal of High Energy Physics Black Holes Classical Theories of Gravity Scattering Amplitudes |
| title | Why is the Weyl double copy local in position space? |
| title_full | Why is the Weyl double copy local in position space? |
| title_fullStr | Why is the Weyl double copy local in position space? |
| title_full_unstemmed | Why is the Weyl double copy local in position space? |
| title_short | Why is the Weyl double copy local in position space? |
| title_sort | why is the weyl double copy local in position space |
| topic | Black Holes Classical Theories of Gravity Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP12(2022)046 |
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